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mathematical proof

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  • Mathematical proof — In mathematics, a proof is a convincing demonstration (within the accepted standards of the field) that some mathematical statement is necessarily true.[1][2] Proofs are obtained from deductive reasoning, rather than from inductive or empirical… …   Wikipedia

  • mathematical proof — noun proof of a mathematical theorem • Hypernyms: ↑proof …   Useful english dictionary

  • Mathematical induction — can be informally illustrated by reference to the sequential effect of falling dominoes. Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all natural numbers (positive… …   Wikipedia

  • Proof — may refer to: * A rigorous, compelling argument ** Formal proof ** Mathematical proof ** Proof theory, a branch of mathematical logic that represents proofs as formal mathematical objects ** Logical argument ** Evidence (law), tested evidence or… …   Wikipedia

  • Proof by exhaustion — Proof by exhaustion, also known as proof by cases, perfect induction, or the brute force method, is a method of mathematical proof in which the statement to be proved is split into a finite number of cases, and each case is proved separately. A… …   Wikipedia

  • Proof of concept — is a short and/or incomplete realization (or ) of a certain method or idea(s) to demonstrate its feasibility, or a demonstration in principle, whose purpose is to verify that some concept or theory is probably capable of exploitation in a useful… …   Wikipedia

  • Proof by verbosity — is a term used to describe an excessively verbose mathematical proof that may or may not actually prove the result. Such proofs are most often presented by students who don t fully grasp the concepts they are writing about. Students presenting… …   Wikipedia

  • Proof by intimidation — is a jocular term used mainly in mathematics to refer to mathematical proofs which are so complex, so long winded and so poorly presented by the authors that others are simply forced to accept it, lest they be forced to sift through its minute… …   Wikipedia

  • Mathematical fallacy — In mathematics, certain kinds of mistakes in proof, calculation, or derivation are often exhibited, and sometimes collected, as illustrations of the concept of mathematical fallacy. The specimens of the greatest interest can be seen as… …   Wikipedia

  • Proof that 22/7 exceeds π — Proofs of the famous mathematical result that the rational number 22⁄7 is greater than π date back to antiquity. What follows is a modern mathematical proof that 22⁄7 > π, requiring only elementary techniques from calculus. The purpose is not… …   Wikipedia

  • proof — n. conclusive evidence 1) to furnish, give offer, present, produce, provide proof 2) ample, clear, conclusive, convincing, definite, incontestable, indisputable, irrefutable, positive, undeniable, unquestionable proof 3) documentary; mathematical …   Combinatory dictionary

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